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Finding the Fourth Proportional to 745.52, 1,118.12 and 197.68

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Solution

The fourth proportional to 745.52, 1,118.12 and 197.68 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.52 : 1,118.12 = 197.68 : x
  2. Step 2: Convert to fraction form
    745.52/1,118.12 = 197.68/x
  3. Step 3: Cross multiply
    745.52x = 1,118.12 × 197.68
  4. Step 4: Simplify right side
    745.52x = 221,029.96
  5. Step 5: Solve for x
    x = 221,029.96/745.52
  6. Step 6: Final answer
    x = 296.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.